How many different triangles are there in the figure?

Problems

Grades: 3rd to 5th

Geometry

Classify two-dimensional figures into categories based on their properties.

5.G.B.4

To the left, an 8 × 8
grid can be covered by one square (measuring 8 × 8), by four squares (measuring
4 × 4 each), or by ten squares (one 5 × 5, three 3 × 3,
two 2 × 2, and four 1 × 1).

Find all values of *n* for which it is impossible to cover an
8 × 8 grid with *n* squares of
integer side length.

Problems

Grades: 3rd to 5th

Measurement & Data

Geometric measurement: understand concepts of area and relate area to multiplication and to addition.

3.MD.C.5a, 3.MD.C.5b, 3.MD.C.6

In 2008, September and
December both began on a Monday. But every year, there are two months that do
not begin on the same day of the week as any other month. What are those two
months?

Problems

Write 2014 with the first four prime numbers, with the
aid of the operations addition, multiplication and exponentiation.

Problems

Grades: 6th to 8th, 3rd to 5th

Expression/Equation

Algebraic Thinking

Apply and extend previous understandings of arithmetic to algebraic expressions.

Gain familiarity with factors and multiples.

Multiply and divide within 100.

3.OA.C.7, 4.OA.B.4, 6.EE.A.1

If
*x*^{2} + *y*^{2} = 36, *xy* = 32,
what is the positive value of *x* + *y*?

Problems

Grades: 9th to 12th

Functions

Algebra

Interpreting Functions

Reasoning with Equations and Inequalities

HSA-REI.B.4b, HSF-IF.C.8a